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Simplifying -2(w + -5) = 5w + -46 Reorder the terms: -2(-5 + w) = 5w + -46 (-5 * -2 + w * -2) = 5w + -46 (10 + -2w) = 5w + -46 Reorder the terms: 10 + -2w = -46 + 5w Solving 10 + -2w = -46 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 10 + -2w + -5w = -46 + 5w + -5w Combine like terms: -2w + -5w = -7w 10 + -7w = -46 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + -7w = -46 + 0 10 + -7w = -46 Add '-10' to each side of the equation. 10 + -10 + -7w = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -7w = -46 + -10 -7w = -46 + -10 Combine like terms: -46 + -10 = -56 -7w = -56 Divide each side by '-7'. w = 8 Simplifying w = 8
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